3321936000 has 768 divisors, whose sum is σ = 13404268800. Its totient is φ = 783974400.

The previous prime is 3321935963. The next prime is 3321936043. The reversal of 3321936000 is 6391233.

3321936000 is a `hidden beast` number, since 33 + 21 + 9 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×3321936000² = 22070517576192000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56303971 + ... + 56304029.

It is an arithmetic number, because the mean of its divisors is an integer number (17453475).

Almost surely, 2^3321936000 is an apocalyptic number.

3321936000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702134400).

3321936000 is an abundant number, since it is smaller than the sum of its proper divisors (10082332800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3321936000 is a wasteful number, since it uses less digits than its factorization.

3321936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3321936000 is about 57636.2386003806. The cubic root of 3321936000 is about 1492.0971025983.

The spelling of 3321936000 in words is "three billion, three hundred twenty-one million, nine hundred thirty-six thousand".